Question

A committee must be formed with 2 teachers and 4 students. If there are 11 teachers to choose from, and 16 students, how many different ways could the committee be made?

Answer 1

The number of ways to select 2 teachers from 11 teachers are,

`11C_2`

The number of ways in which 4 students can be selected from 16 students are,

`16C_4`

The, the total number of ways in which the committe can be formed is,

`\begin{gathered} n=11C_2*16C_4 \\ n=55*182 \\ n=10010 \end{gathered}`

Thus, the answer is 10010.